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We present a fast and stable numerical technique to obtain the self-energy terms of electrodes for first-principles electron-transport calculations. Although first-principles calculations based on the real-space finite-difference method are…

Mesoscale and Nanoscale Physics · Physics 2016-01-27 Tomoya Ono , Shigeru Tsukamoto

Transition metal oxides belong to a genre of quantum materials essential for the exploration of theoretical methods for quantifying electronic correlation. Finding an efficient and accurate first principles method for the assertion of such…

Materials Science · Physics 2025-08-13 Suvadip Das

First-principles calculations combining density functional theory and many-body perturbation theory can provide microscopic insight into the dynamics of electrons and phonons in materials. We review this theoretical and computational…

Materials Science · Physics 2016-11-23 Marco Bernardi

A new methodology is developed to integrate numerically the equations of motion for classical many-body systems in molecular dynamics simulations. Its distinguishable feature is the possibility to preserve, independently on the size of the…

Statistical Mechanics · Physics 2009-10-31 I. P. Omelyan , I. M. Mryglod , R. Folk

A machine learning algorithm for partitioning the nuclear vibrational space into subspaces is introduced. The subdivision criterion is based on Liouville's theorem, i.e. best preservation of the unitary of the reduced dimensionality…

Chemical Physics · Physics 2021-01-12 Michele Gandolfi , Alessandro Rognoni , Chiara Aieta , Riccardo Conte , Michele Ceotto

We introduce a practical hybrid approach that combines orbital-free density functional theory (DFT) with Kohn-Sham DFT for speeding up first-principles molecular dynamics simulations. Equilibrated ionic configurations are generated using…

Vibrational spectra of condensed and gas-phase systems containing light nuclei are influenced by their quantum-mechanical behaviour. The quantum dynamics of light nuclei can be approximated by the imaginary time path integral (PI)…

Chemical Physics · Physics 2022-11-23 Félix Musil , Iryna Zaporozhets , Frank Noé , Cecilia Clementi , Venkat Kapil

In this work we report a computational study of the vibrational features of four different nucleobases employing the divide-and-conquer semiclassical initial value representation molecular dynamics method. Calculations are performed on…

Chemical Physics · Physics 2019-06-14 Fabio Gabas , Giovanni Di Liberto , Michele Ceotto

Recently, fictitious identical particles have provided a promising way to overcome the fermion sign problem and have been used in path integral Monte Carlo (PIMC) to accurately simulate warm dense matter with up to 1000 electrons (T.…

Quantum Gases · Physics 2025-08-14 Yunuo Xiong , Shujuan Liu , Hongwei Xiong

This chapter provides a tutorial overview of first principles methods to describe the properties of matter at the ground state or equilibrium. It begins with a brief introduction to quantum and statistical mechanics for predicting the…

Computational Engineering, Finance, and Science · Computer Science 2020-10-14 Jianzhong Wu , Mengyang Gu

With the continuous growth of processing power for scientific computing, first principles Born-Oppenheimer molecular dynamics (MD) simulations are becoming increasingly popular for the study of a wide range of problems in materials science,…

Materials Science · Physics 2015-06-04 Anders M. N. Niklasson , Marc J. Cawkwell

An approximate approach to quantum vibrational dynamics, "Brownian Chain Molecular Dynamics (BCMD)", is proposed to alleviate the chain resonance and curvature problems in the imaginary time-based path integral (PI) simulation. Here the…

Chemical Physics · Physics 2024-01-26 Motoyuki Shiga

This is the second part of a project on the foundations of first-principle calculations of the electron transport in crystals at finite temperatures, aiming at a predictive first-principles platform that combines ab-initio molecular…

Computational Physics · Physics 2020-09-10 Thomas D. Kühne , Julian Heske , Emil Prodan

A new Hamilton principle of convolutional type, completely compatible with the initial conditions of an IVP, has been proposed in a recent publication arXiv:1912.08490v1 [math-ph]. In the present paper the possible use of this principle for…

Numerical Analysis · Mathematics 2020-11-24 Vassilios K. Kalpakides

In this paper, we review some recent work on amorphous materials using current "first principles" electronic structure/molecular dynamics techniques. The main theme of the paper is to emphasize new directions in the use of such ab initio…

Disordered Systems and Neural Networks · Physics 2007-05-23 D. A. Drabold , P. Biswas , D. Tafen , R. Atta-Fynn

We propose a method to evaluate the Gibbs free energy from constant-volume first-principles phonon calculations. The volume integral of the pressure is performed by determining the volume and the bulk modulus in equilibrium at finite…

Materials Science · Physics 2025-07-02 Kota Hashimoto , Tomonori Tanaka , Yoshihiro Gohda

In this paper, we present a novel pseudospectral (PS) method for solving a new class of initial-value problems (IVPs) of time-dependent one-dimensional fractional partial differential equations (FPDEs) with variable coefficients and…

Numerical Analysis · Mathematics 2023-12-11 Kareem T. Elgindy

An extended first-principles molecular dynamics (FPMD) method based on Kohn-Sham scheme is proposed to elevate the temperature limit of the FPMD method in the calculation of dense plasmas. The extended method treats the wave functions of…

Plasma Physics · Physics 2016-09-08 Shen Zhang , Hongwei Wang , Wei Kang , Ping Zhang , Xian-Tu He

Quantum effects of lattice vibration play a major role in many physical properties of condensed matter systems, including thermal properties such as specific heat, structural phase transition, as well as phenomena such as quantum crystal…

Materials Science · Physics 2025-05-30 Hongyu Wu , Ri He , Yi Lu , Zhicheng Zhong

In this paper, we propose a cost-reduced method for finite-temperature molecular dynamics on a near-term quantum computer, Quantum Car-Parrinello molecular dynamics (QCPMD). One of the most promising applications of near-term quantum…

Quantum Physics · Physics 2022-12-23 Kohdai Kuroiwa , Takahiro Ohkuma , Hirokazu Sato , Ryosuke Imai